49 citations · 100 across the 9 of their papers we have counts for
6 papers · 1 filter
Sub-Riemannian Fast Marching in SE(2)
Gonzalo Sanguinetti, Erik Bekkers, Remco Duits +3
We propose a Fast Marching based implementation for computing sub-Riemanninan (SR) geodesics in the roto-translation group SE(2), with a metric depending on a cost induced by the i…
Improving Fiber Alignment in HARDI by Combining Contextual PDE Flow with Constrained Spherical Deconvolution
J. M. Portegies, R. H. J. Fick, G. R. Sanguinetti +3
We propose two strategies to improve the quality of tractography results computed from diffusion weighted magnetic resonance imaging (DW-MRI) data. Both methods are based on the sa…
New Approximation of a Scale Space Kernel on SE(3) and Applications in Neuroimaging
J. M. Portegies, G. R. Sanguinetti, S. P. L Meesters +1
We provide a new, analytic kernel for scale space filtering of dMRI data. The kernel is an approximation for the Green's function of a hypo-elliptic diffusion on the 3D rigid body…
A PDE Approach to Data-driven Sub-Riemannian Geodesics in SE(2)
Erik J. Bekkers, Remco Duits, Alexey Mashtakov +1
We present a new flexible wavefront propagation algorithm for the boundary value problem for sub-Riemannian (SR) geodesics in the roto-translation group $SE(2) = \mathbb{R}^2 \rtim…
Sub-Riemannian mean curvature flow for image processing
Giovanna Citti, Benedetta Franceschiello, Gonzalo Sanguinetti +1
In this paper we reconsider the sub-Riemannian cortical model of image completion introduced by Sarti and Citti in 2003. This model combines two mechanisms, the sub-Riemannian diff…
Locally Adaptive Frames in the Roto-Translation Group and their Applications in Medical Imaging
R. Duits, M. H. J. Janssen, J. Hannink +1
Locally adaptive differential frames (gauge frames) are a well-known effective tool in image analysis, used in differential invariants and PDE-flows. However, at complex structures…